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We report on the isotope shift between ${}^{88}$Sr and ${}^{87}$Sr on the${}^1S_0 - {}^3P_0$ clock transitions. The interleaved operation of an opticallattice clock with two isotopes allows the canceling out of commonperturbations, such as the quadratic Zeeman shift, the clock-light shift, andthe blackbody radiation shift. The isotope shift is determined to be 62 188134.004(10) Hz, where the major uncertainty is introduced by the collisionalshift that is distinct for each isotope. Our result allows us to determine thefrequency of $^{88}$Sr-$^{87}$Sr optical lattice clocks with a fractionaluncertainty of $2\times 10^{-17}$. The scheme is generally applicable formeasuring the isotope shift with significantly reduced uncertainty.

Precise determination of the isotope shift of ${}^{88}$Sr - ${}^{87}$Sr optical lattice clock by sharing perturbations